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Finding the Third Proportional to 665.91 and 1,008.09

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Solution

The third proportional to 665.91 and 1,008.09 is: 1,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.91 : 1,008.09 = 1,008.09 : x
  2. Step 2: Convert to fraction form
    665.91/1,008.09 = 1,008.09/x
  3. Step 3: Cross multiply
    665.91x = 1,008.09 × 1,008.09
  4. Step 4: Simplify right side
    665.91x = 1,016,253.01
  5. Step 5: Solve for x
    x = 1,016,253.01/665.91
  6. Step 6: Final answer
    x = 1,526.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.